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Finding the Third Proportional to 46,717.88 and 109,677.38

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Solution

The third proportional to 46,717.88 and 109,677.38 is: 257,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,717.88 : 109,677.38 = 109,677.38 : x
  2. Step 2: Convert to fraction form
    46,717.88/109,677.38 = 109,677.38/x
  3. Step 3: Cross multiply
    46,717.88x = 109,677.38 × 109,677.38
  4. Step 4: Simplify right side
    46,717.88x = 12,029,126,586.89
  5. Step 5: Solve for x
    x = 12,029,126,586.89/46,717.88
  6. Step 6: Final answer
    x = 257,484.46

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.